(a) the modulus of elasticity. (b) Poisson's ratio. (c) the change in the bar width b.
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- A closed cylindrical tank, placed horizontally, 400 mm in internal diameter and 2.2 mm thick is subjected to an axial compressive force (along its longitudinal axis) and uniform internal pressure. The stresses acting on an element of side is shown in the figure. a. What is the magnitude of the internal pressure in MPa?b. What is the applied axial force in kN?c. What is the maximum shear stress in MPa?The rigid, horizontal slab is attached to two identical copper rods. There is a gap ∆ = 0.18 mm between the middle bar, which is made of aluminum, and the slab. Neglecting the mass of the slab, calculate the stress in each rod when the temperature in the assembly is increased by 60 oC. Use the following data:When filled to capacity, the unpressurized storage tank shown contains water to a height of h = 19 ft. The outside diameter of the tank is 8 ft and the wall thickness is 0.625 in. Determine the maximum normal stress at the base of the tank. (Weight density of water = 62.4 lb/ft3) 405 psi 588 psi 793 psi 624 psi 746 psi
- The rigid horizontal slab is attached to two identical copper rods. There is a gap Δ = 6.18 mm between themiddle bar, which is made of aluminum, and the slab. Neglecting the mass of the slab, calculate the stress in each rod when the temperature in the assembly is increased by 81°C. Use the following data:The tank shown in the figure is fabricated from a 10 mm steel plate. Determine the longitudinal and tangential stress developed by an internal pressure of 1.2 MpaA closed cylindrical tank, placed horizontally, 400 mm in internal diameter and 2.2 mm thick is subjected to an axial compressive force (along its longitudinal axis) and uniform internal pressure. The stresses acting on an element of side is shown in the figure.a. What is the magnitude of the internal pressure in MPa?b. What is the applied axial force in kN? (detailed solution please)
- A hollow circular column of internal diameter 20 mm and external diameter 40 mm has a total length of 5m. One end of the column is fixed, and the other end is hinged. Find out the crippling stress of the column if E = 2 × 10^5 N/mm2. Also, find out the shortest length of this column for which Euler’s formula is valid taking the yield stress equal to 250 N/mm2.The bar shown below has a constant width of 59 mm and a thickness of 17 mm. The maximum average normal stress in the bar when it is sujected to the loading shown will be: ___ MPa. Calculate your answer to 1 decimal place.The concrete tower of a water tank with a cross section in the form of a circular ring carries the weight of the full tank as load F shown in the figure. a) If the allowable compressive stress for the concrete is 8 MPa, determine the maximum capacity of the water tank as cubic meter. b) Considering the weight of the water tank and the weight of the tower itself, determine the shortening Dl of the tower. c) Determine the compressive stress distribution along the tower. (Mass density and the elastic modulus of the concrete are pc=2400 kg/m3 and Ec=12 GPa respectively)
- A steel pipe of length L = 4.0 ft, outside diameter = 6.0 in., and inside diameter = 4.5 in. is compressed by an axial force P kips. The material has modulus of elasticity E = 30,000 ksi and Poisson’s ratio υ = 0.30. Determine the following quantities for the pipe: (a) the shortening, (b) the lateral strain (c) the increase in the outer diameter and the increase in the inner diameter, and (d) the increase in the wall thickness. (Where P=55)Vertical load is applied to point B of a 10 mm radius cylindrical bar as shown in the figure. Calculate the normal stress at point D.QUESTION 5 The solid shaft as shown in Figure 5 is made of material that has an allowable stress of 275 MPa. Determine the required diameter of the shaft to the nearest mm.